Given t is a real number and (3/5, 4/5) is the point on the unit circle that corresponds to t, how do you find exact value of remaining trigonometric functions?

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Given t is a real number and (3/5, 4/5) is the point on the unit circle that corresponds to t, how do you find exact value of remaining trigonometric functions?

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Answer 1 · 2015-04-26T17:26:06

Use the unit circle definitions. They are exactly the set-up you have here:
Given $t$ is a real number and $(x, y)$ is the point on the unit circle that corresponds to $t$ ,

$sint=y$ , so for this question, $sint = 4/5$

The definition continues:

$cost=x$ , so for this question, $cost = 3/5$

$tant = y/x$ so for this question, $tant = (4/5)/(3/5) = 4/5 * 5/3 = 4/3$

And so on.

(Yes, it really is just that. Don't make it more difficult.)

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Given t is a real number and (3/5, 4/5) is the point on the unit circle that corresponds to t, how do you find exact value of remaining trigonometric functions?

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